all Space and shape worksheets
The perimeter is the distance all the way around the outside of a 2D shape. Area is the amount of space a surface takes up. We measure area in square units. Can you answer these questions (it may help you to draw these shapes on centimetre-squared paper)?
Here is a picture of a circle. Its centre is marked with a red dot. Can you measure the circle’s radius, diameter and circumference?
The quickest way to find the area of a 2D shape is to use a formula. Can you use the right formula to find the areas of these shapes? With 3D shapes we can also find the volume, which means the quantity of space taken up by the shape. Can you use the right formula to find the volumes of these cuboids?
To work out the area of a triangle, we use the formula: area = ½ x base x height. See if you can calculate the areas of these triangles.
Can you draw this shape’s reflection in the mirror line?
Some of these angles are acute, some are obtuse. Decide which they are, then write an estimate for how many degrees you think each one measures. Measure them with a protractor to see if you were right
These four shapes fit in the column on the left. Can you draw them in the correct places and name them? If you’d like to count the faces yourself, use a net of each of the shapes to make a 3D shape you can hold.
Once you know how to find the area of a rectangle, you can use this knowledge to find the area of irregular, compound shapes as long as they are made up of rectangles or squares. Can you calculate the area and perimeter of the shapes below?
Parallel lines are always the same distance apart. Perpendicular lines are at right angles to each other. Can you put these shapes into the correct place in the Carroll diagram?
The three inside angles in a triangle always add up to 180 degrees. Can you work out what the following angles are, WITHOUT a protractor?
Protractors at the ready! Measure these angles then draw the correct answers to these word problems.
A full turn is 360 degrees, so the angles around a point always add up to 360 degrees. Can you look at these diagrams and work out what the missing angles are, WITHOUT using a protractor?
Translating a shape means moving it up or down or sideways without it changing shape or size. This shape needs to be translated 4 squares right and 3 squares up. Can you redraw it in its new location?
Something is symmetrical when both sides of it are the same when cut in half. The line down the middle of a symmetrical shape is called the line of symmetry or mirror line. Can you draw this shape reflected in the mirror line?
Imagine an ant crawling around the outside of a shape. The distance the ant walks is the shape’s perimeter. Can you measure the sides of these shapes by counting the squares and work out their perimeters?
Area is the name we use for the amount of space a surface takes up. You could measure the area of a small space like a table or a big space like the school field. We measure area in square units. Can you calculate the area of these shapes?
Angles on a straight line will always add up to 180 degrees. Can you work out what the missing angles are? Don’t try to measure them with a protractor – they are deliberately not drawn correctly!
Something is symmetrical when it is the same on both sides. Can you make this butterfly symmetrical by drawing the same patterns on its wings on both sides?
Do you know the difference between a cube and a cuboid? Ask your mum or dad to help you find objects shaped like a cube and a cuboid. Now take them around your house and look for more cubes and cuboids! Draw the objects you find in the table.
Look at these patterns. Can you carry them on? What comes next in each one?